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Finding the Third Proportional to 284.34 and 646.31

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Solution

The third proportional to 284.34 and 646.31 is: 1,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.34 : 646.31 = 646.31 : x
  2. Step 2: Convert to fraction form
    284.34/646.31 = 646.31/x
  3. Step 3: Cross multiply
    284.34x = 646.31 × 646.31
  4. Step 4: Simplify right side
    284.34x = 417,719.85
  5. Step 5: Solve for x
    x = 417,719.85/284.34
  6. Step 6: Final answer
    x = 1,469.07

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.